title: A novel coupling algorithm for computing blood flow in viscoelastic arterial models.
abstract: We propose a novel coupling algorithm, based on the operator-splitting scheme, which implements the viscoelastic wall law at the coupling nodes of the vessels. Two different viscoelastic models are used (V1 and V2), leading to five different computational setups: elastic wall law, model V1 applied at interior and coupling grid points, model V1 applied only at the interior grid points (V1-int), model V2 applied at interior and coupling grid points, model V2 applied only at the interior grid points (V2-int). These have been tested with two arterial configurations: (i) single artery, and (ii) complete arterial tree. Models V1-int and V2-int lead to incorrect conclusions and to errors which can be of the same order as, and are at least 1/5 of, the difference between the results with the elastic and the viscoelastic laws. Both test cases demonstrate the importance of modeling the viscous component of the pressure-area relationship at all grid points, including the coupling points between vessels or at the inlet/outlet of the model.
authors.forename: Lucian
authors.initials: L
authors.lastname: Itu
authors.forename: Puneet
authors.initials: P
authors.lastname: Sharma
authors.forename: Ali
authors.initials: A
authors.lastname: Kamen
authors.forename: Constantin
authors.initials: C
authors.lastname: Suciu
authors.forename: Dorin
authors.initials: D
authors.lastname: Comaniciu
mesh_terms: D000465:Algorithms; D001158:Arteries / Q000502:physiology*; D004548:Elasticity; D006801:Humans; D008954:Models, Biological; D011312:Pressure; D012039:Regional Blood Flow / Q000502:physiology*; D013997:Time Factors; D014783:Viscosity